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List:       moderncrypto-curves
Subject:    [curves] Curve25519 naming / renaming
From:       codesinchaos () gmail ! com (CodesInChaos)
Date:       2014-08-28 15:32:49
Message-ID: CAK9dnSzMVsNHAv3SW53X+JCaL2TyknD6uvsV1FatkEuUhwQ5HQ () mail ! gmail ! com
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On Wed, Aug 27, 2014 at 4:19 AM, Tony Arcieri <bascule at gmail.com> wrote:
> and not GF(2^255-19).
> ...
> Crazy suggestion: GF25519

You *are* confused, but for a different reason. GF(2^255-19) is the
underlying field, not the curve defined over that field. There are
many different elliptic curves over that field, but we only refer to a
specific one as Curve25519.

Consider P512 and E521. Both use the same field, but the curves are
quite different.

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